Answer:
G. 245.04cm²
Step-by-step explanation:
The shortest way to solve this problem would be:
total surface area = 2 * π * r² + (2 * π * r) * h
or
total surface area = 2 * π * r * (r + h).
Diameter = 6
Radius = 3
Height = 10
The radius is half the diameter
TSA = Total surface area
TSA = 2 π 3(3+10)
TSA = (2)(3.141593)(3)(3+10)
TSA = (6.283185)(3)(3+10)
TSA = 18.849556(3+10)
TSA = (18.849556)(13)
TSA = 245.044227
TSA = 245.04
Or you could do the longer way, which would be:
Step 1: Find the surface area of the curved part of the cylinder
Surface Area (Curved) = 2 x π x Radius x Height
Step 2: Find the surface area of the two ends of the cylinder
Surface Area (Ends) = 2 x π x Radius²
Step 3: Add the surface are of the curved part to the surface area of the ends
Surface Area (Total) = Surface Area (Curved) + Surface Area (Ends)
For the cylinder in the picture:
A cylinder has a height of 10 and a diameter of 6
Hence, Radius = d/2 = 6/2 = 3 cm
Surface Area (Curved) = 2 x pi x 3 x 10
Surface Area (Curved) = 188.495559
Surface Area (Ends) = 2 x pi x 3²
Surface Area (Ends) = 2 x pi x 25
Surface Area (Ends) = 56.548668
Surface Area (Total) = 245.044227
245.04 is the result of rounding 245.044227 to the nearest hundredth
where 
is the first term and d is the constant difference, 
,